New Approaches to Central Problems in Euclidean Harmonic Analysis and Geometric Combinatorics

Research output

Research output per year 2009 2009 2012

• 8 Article

Research output per year

Research output per year

Search results

• Article

  Closure properties of solutions to heat inequalities

  Bennett, J. & Bez, R., 1 Jul 2009, In: Journal of Geometric Analysis. 19, 3, p. 584-600 17 p.

  Research output: Contribution to journal › Article

  Open Access

  File

  • Closure Properties 100%
  • Heat 82%
  • Infinity 59%
  • Fold 39%
  • Convolution 35%
  9 Citations (Scopus)

  187 Downloads (Pure)

• Heat-flow monotonicity of Strichartz norms

  Bennett, J., Bez, R., Carbery, A. & Hundertmark, D., 1 Jan 2009, In: Analysis and PDE. 2, 2, p. 147-158 12 p.

  Research output: Contribution to journal › Article

  Open Access

  File

  • Schrodinger equation 100%
  • Heat Flow 68%
  • Monotonicity 47%
  • Heat transfer 37%
  • Schrodinger Equation 36%
  304 Downloads (Pure)

• Heat-flow monotonicity related to the Hausdorff-Young inequality

  Bennett, J., Bez, R. & Carbery, A., 3 Sept 2009, In: Bulletin of the London Mathematical Society. 41, p. 971-979 9 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Young's Inequality 100%
  • Heat Flow 89%
  • Monotonicity 61%
  • Rescaling 41%
  • Integer 38%
  8 Citations (Scopus)

  270 Downloads (Pure)

• Maximal operators and Hilbert transforms along flat curves near L1

  Bez, R., 1 Dec 2009, In: Journal of the Australian Mathematical Society. 87, 03, p. 311-323 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Hilbert Transform 100%
  • Maximal Operator 94%
  • Curve 52%
  • Convex Curve 37%
  • Class 25%
  124 Downloads (Pure)

• On the dimension of divergence sets of dispersive equations

  Barceló, JA., Bennett, J., Carbery, A. & Rogers, KM., 1 Mar 2011, In: Mathematische Annalen. 349, 3, p. 599-622 24 p.

  Research output: Contribution to journal › Article

  • Dispersive Equations 100%
  • Divergence 67%
  • Schrodinger Equation 50%
  • Pointwise Convergence 45%
  • Hausdorff Dimension 37%
  21 Citations (Scopus)

• Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis

  Bennett, J. & Bez, R., 15 Nov 2010, In: Journal of Functional Analysis. 259, 10, p. 2520-2556 37 p.

  Research output: Contribution to journal › Article

  Open Access

  File

  • Harmonic Analysis 100%
  • Proof by induction 46%
  • Diffeomorphism 43%
  • Higher Dimensions 42%
  • Fourier transform 40%
  21 Citations (Scopus)

  271 Downloads (Pure)

• The Fourier extension operator on large spheres and related oscillatory integrals

  Bennett, J. & Seeger, A., 1 Jan 2009, In: London Mathematical Society. Proceedings . 98, 1, p. 45-82 38 p.

  Research output: Contribution to journal › Article

  • Extension Operator 100%
  • Oscillatory Integrals 95%
  • Kakeya set 63%
  • Bilinear Estimates 54%
  • Averaging Operators 45%
  8 Citations (Scopus)

• Weighted norm inequalities for oscillatory integrals with finite type phases on the line

  Bennett, J. & Harrison, S., 1 Mar 2012, In: Advances in Mathematics. 229, 4, p. 2159-2183 25 p.

  Research output: Contribution to journal › Article
  6 Citations (Scopus)